Category:Definitions/Multiplicative Inverses

This category contains definitions related to Multiplicative Inverses.
Related results can be found in Category:Multiplicative Inverses.

Let $\strut {A_F, \oplus}$ be a unitary algebra whose unit is $1$ and whose zero is $0$.

Let $a \in A_F$ such that $a \ne 0$.

A multiplicative inverse of $a$ is an element $b \in A_F$ such that:

$a \oplus b = 1 = b \oplus a$